A. Viña

activity

20002005

most citedHamiltonian diffeomorphisms of toric manifolds

1 citations · 2 across the 2 of their papers we have counts for

collaborators

5 papers

math.SG2005★ 1 cited

Hamiltonian diffeomorphisms of toric manifolds

Andrés Viña

We prove that $π_{1} (Ham (M))$ contains an infinite cyclic subgroup, where $Ham (M)$ is the Hamiltonian group of the one point blow up of $C P^{3}$ . We give a suffici…

math.SG2003★ 1 cited

On the Homotopy of Symplectomorphism Groups of Homogeneous Spaces

Andrés Viña

Let $O$ be a quantizable coadjoint orbit of a semisimple Lie group $G$ . Under certain hypotheses we prove that $#(π_1(\text{Ham}({\cal O})))\geq #(Z(G))$, where $\text{Ham}(…

math.SG2001

Symplectic action around loops in $Ham (M)$

Andrés Viña

Let $Ham(M)$ be the group of Hamiltonian symplectomorphisms of a quantizable, compact, symplectic manifold $(M, ω)$ . We prove the existence of an action integral around loops…

math.SG2001

Action integrals along closed isotopies in coadjoint orbits

Andrés Viña

Let $O$ be the orbit of $η \in g^{*}$ under the coadjoint action of the compact Lie group $G$ . We give two formulae for calculating the action integral along a closed Ha…

math.SG2000

Hamiltonian symplectomorphisms and the Berry phase

Andrés Viña

On the space $L$ , of loops in the group of Hamiltonian symplectomorphisms of a symplectic quantizable manifold, we define a closed $Z$ -valued 1-form $Ω$ . If $Ω$ vanish…

Hamiltonian diffeomorphisms of toric manifolds

On the Homotopy of Symplectomorphism Groups of Homogeneous Spaces

Symplectic action around loops in Ham(M)

Action integrals along closed isotopies in coadjoint orbits

Hamiltonian symplectomorphisms and the Berry phase

Symplectic action around loops in $Ham (M)$